(a) Find the equation of the straight line through (1, 2) and (3, 4). (b) Find the equation of the line through (-5, 5) with slope 2. (c) Find a point that lies on both of the lines in (a) and (b).
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a) Find the equation of the straight line through (1,2) and (3,4). Show more…
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Key Concepts
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$$ \begin{array}{l}{\text { Finding Equations of Lines and Graphing }} \\ {\text { (a) Sketch the line with slope }-2 \text { that passes through the }} \\ {\text { point }(4,-1) \text { . }} \\ {\text { (b) Find an equation for this line. }}\end{array} $$
Fundamentals
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Find an equation of each line with the given slope that passes through the given point. Write the equation in the form $A x+B y=C .$ See Example 4. $$ m=\frac{2}{3} ; \quad(-8,9) $$
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